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Recursive Method for Nekrasov partition function for classical Lie groups
Nekrasov partition function for the supersymmetric gauge theories with
general Lie groups is not so far known in a closed form while there is a
definition in terms of the integral. In this paper, as an intermediate step to
derive it, we give a recursion formula among partition functions, which can be
derived from the integral. We apply the method to a toy model which reflects
the basic structure of partition functions for BCD type Lie groups and obtained
a closed expression for the factor associated with the generalized Young
diagram.Comment: 21 pages;v2 comments and references adde